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Pré-Publication, Document De Travail Année : 2011

Computing and estimating information matrices of weak ARMA models

Résumé

Numerous time series admit weak autoregressive-moving average (ARMA) representations, in which the errors are uncorrelated but not necessarily independent nor martingale differences. The statistical inference of this general class of models requires the estimation of generalized Fisher information matrices. We give analytic expressions and propose consistent estimators of these matrices, at any point of the parameter space. Our results are illustrated by means of Monte Carlo experiments and by analyzing the dynamics of daily returns and squared daily returns of financial series.
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Dates et versions

hal-00555305 , version 1 (12-01-2011)

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  • HAL Id : hal-00555305 , version 1

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Yacouba Boubacar Mainassara, Michel Carbon, Christian Francq. Computing and estimating information matrices of weak ARMA models. 2011. ⟨hal-00555305⟩
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